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Partial Differential Equations in Zero-Sum Differential Game and Applications on Coronavirus
Published 2023-01-01“…In this paper, we studied a zero-sum game described by the partial differential equations as an application on Coronavirus. …”
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On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations
Published 2016-01-01“…We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara differentiability.…”
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23
Devaney Chaos and Distributional Chaos in the Solution of Certain Partial Differential Equations
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Boundary value problems for partial differential equations with piecewise contant delay
Published 1991-01-01Subjects: “…partial differential equation…”
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Oscillation Properties for Second-Order Partial Differential Equations with Damping and Functional Arguments
Published 2011-01-01“…Using an integral averaging method and generalized Riccati technique, by introducing a parameter β≥1, we derive new oscillation criteria for second-order partial differential equations with damping. The results are of high degree of generality and sharper than most known ones.…”
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On the Parametric Stokes Phenomenon for Solutions of Singularly Perturbed Linear Partial Differential Equations
Published 2012-01-01“…We study a family of singularly perturbed linear partial differential equations with irregular type in the complex domain. …”
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27
Stationary in Distributions of Numerical Solutions for Stochastic Partial Differential Equations with Markovian Switching
Published 2013-01-01“…We investigate a class of stochastic partial differential equations with Markovian switching. By using the Euler-Maruyama scheme both in time and in space of mild solutions, we derive sufficient conditions for the existence and uniqueness of the stationary distributions of numerical solutions. …”
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28
Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations
Published 2013-01-01“…This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs). The approximate solutions of PDEs are calculated in the form of a series whose components are computed by applying a recursive relation. …”
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29
The decomposition method for linear, one-dimensional, time-dependent partial differential equations
Published 2006-01-01“…The analytical solutions for linear, one-dimensional, time-dependent partial differential equations subject to initial or lateral boundary conditions are reviewed and obtained in the form of convergent Adomian decomposition power series with easily computable components. …”
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Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order
Published 2013-01-01“…Two tecHniques were implemented, the Adomian decomposition method (ADM) and multivariate Padé approximation (MPA), for solving nonlinear partial differential equations of fractional order. The fractional derivatives are described in Caputo sense. …”
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31
Boundary value problems for second-order partial differential equations with operator coefficients
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32
Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations
Published 2012-01-01“…We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM). …”
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Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
Published 1992-01-01“…In this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.…”
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Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order
Published 2014-01-01“…We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. …”
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Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay
Published 2017-01-01“…This paper deals with an alternative approximate analytic solution to time fractional partial differential equations (TFPDEs) with proportional delay, obtained by using fractional variational iteration method, where the fractional derivative is taken in Caputo sense. …”
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Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G
Published 2022-01-01“…In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G. …”
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A Numerical Approach for the Analytical Solution of the Fourth-Order Parabolic Partial Differential Equations
Published 2022-01-01“…In this study, we propose a new iterative scheme (NIS) to investigate the approximate solution of the fourth-order parabolic partial differential equations (PDEs) that arises in transverse vibration problems. …”
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Conservation Laws for Some Systems of Nonlinear Partial Differential Equations via Multiplier Approach
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Uniqueness and Nonuniqueness in Inverse Problems for Elliptic Partial Differential Equations and Related Medical Imaging
Published 2015-01-01“…Unique determination issues about inverse problems for elliptic partial differential equations in divergence form are summarized and discussed. …”
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